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oksano4ka [1.4K]
3 years ago
10

Which expression is equivalent to 14x − 7 + 3(2x − 5)? A) 6x + 12 B) 8x − 12 C) 20x − 22 D) 24x − 15

Mathematics
1 answer:
Ghella [55]3 years ago
7 0

The given expression is

14x - 7 + 3(2x - 5)

And we have to find the equivalent expression.

First we simplify the given expression by distributing 3 on 2x-5. That is

=  14x-7+6x-15

Now we combine the like terms, that is

= 14x+6x-7-15 = 20x -22

And that's the simplified expression. And hence the correct option is C .

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What is the equation of a parabola if the vertex is (1, 4) and the directrix is located at y = 7?
Oksana_A [137]

According to the vertex and the directrix of the given parabola, the equation is:

y = \frac{3}{4}(x - 1)^2 + 4

<h3>What is the equation of a parabola given it’s vertex?</h3>

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)^2 + k

In which a is the leading coefficient.

The directrix is at y = k + 4a.

In this problem, the vertex is (1,4), hence:

h = 1, k = 4

The directrix is at y = 7, hence:

4 + 4a = 7

a = \frac{3}{4}

Hence, the equation is:

y = a(x - h)^2 + k

y = \frac{3}{4}(x - 1)^2 + 4

More can be learned about the equation of a parabola at brainly.com/question/26144898

4 0
2 years ago
The base of this solid crate has an area of 6 square meters. The
Natali5045456 [20]

if the area is 6 that means the square is 2 x 3. 2 x 3 x 4. that equals 24.

let me know how you did !

6 0
3 years ago
Ralph has a collection of dimes and quarters. The ratio of dimes to quarters is 4:5. If the number
Murrr4er [49]

Answer:

180

Step-by-step explanation:

4 times 20 is 80, and 4 times 5 is 100, so add those together and that's the total number of coins

5 0
3 years ago
Starting at the park, Jake bikes 3 blocks north, 4 blocks east, 4 blocks south, 7 blocks west, and 1 block north. How many block
yan [13]
I'll use a coordinate plane for this since it's easier (for me) :)

Red = park
Blue = his trail
Pink = distance from park = 3

Hope this helped! Please comment or DM me if you have anymore questions or don't understand :)

7 0
3 years ago
Write each quotient as a fraction or mixed number.<br><br>SHOW WORK
12345 [234]

Answer:

4 ÷ 5 = 2/5

5 ÷ 4 = 1 1/4

12 ÷ 30 = 2/5

30 ÷ 12 = 2 1/2

6 0
3 years ago
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